Question

use trapezoid rule to evaluate . Use n=4 integral 1 to 3 (sqrt(1+x^3)dx

Answer 1

ANSWER:

Trapeziodal's Rule result = 0.0529224 Error = 0.000352592

Midpoint's Rule result = 0.0523936 Error = 0.000176241

Simpson's Rule result = 0.0525704 Error = 5.82087*10^-7

Answer 2

but how to do it?

Answer 3

that's a bit long process

Answer 4

[(b-a)/n] [f(a)+f(b)+1/2(f(all the rest))] right?

Answer 5

do you know how to fid the tangent line approximation of f(x)=sin2x+cosx at (pi/2. 0)

Answer 6

it looks doable

Answer 7

you mean the equation of the tangent line at (pi/2,0) right?

Answer 8

i know how to find the equation but
approximating making some boxes i dont know

Answer 9

derive the function and solve it for the input values to get the 'slope' of yout line equation

Answer 10

f'(x) = 2cos(2x)-sin(x) right?

Answer 11

or am i thinking of something else lol

Answer 12

ok yes thats right